Question

Difference of two numbers is 8 and their product is 384 . What are the numbers .​

Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

As per the data given in the question,

Let the number be $x \:and \:y$

So, from the data given,

We can rewrite the given expression as,

$x - y = 8 ---------(1)$

And the product of two number is 384.

So, $xy = 384 ---------(2)$

So, from (1),

$(x-y) = 8=>x = 8+y --------(3)$

Now putting the value of "x" in equation (2),

We will get,

$xy = 384\\=>y\times (8+y) = 384\\=>8y+y^2=384\\=>y^2+8y-384=0\\=>y^2+24y-16y-384=0\\=>y(y+24)-16(y+24) =0\\=>(y-16)(y+24)=0\\=>y = 16, -24$

As, we know that the value of number should be positive, So, we will assume the value 16.

So, we will put value of "y" in first equation for calculating the value of "x"

$x-y =8\\=> x-16=8\\=>x = 24$